even lattice

A lattice $L$ in ${ℝ}^n$ is if the norm of every vector in $L$ is an even integer. Note that because of the polarization identity

$$(x,y)=\frac{(x+y,x+y)-(x,x)-(y,y)}{2}$$

it follows that all scalar products in an even lattice are .

Title	even lattice
Canonical name	EvenLattice
Date of creation	2013-03-22 18:43:29
Last modified on	2013-03-22 18:43:29
Owner	monster (22721)
Last modified by	monster (22721)
Numerical id	4
Author	monster (22721)
Entry type	Definition
Classification	msc 11H06